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Finding the Fourth Proportional to 417.95, 576.84 and 252.17

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Solution

The fourth proportional to 417.95, 576.84 and 252.17 is: 348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.95 : 576.84 = 252.17 : x
  2. Step 2: Convert to fraction form
    417.95/576.84 = 252.17/x
  3. Step 3: Cross multiply
    417.95x = 576.84 × 252.17
  4. Step 4: Simplify right side
    417.95x = 145,458.86
  5. Step 5: Solve for x
    x = 145,458.86/417.95
  6. Step 6: Final answer
    x = 348.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.